Question

answer: obtuse
find each trig ratio.
sin a =
cos a =
tan a =

Explanation:

Step1: Recall trigonometric ratio definitions

• $\sin A=\frac{\text{opposite}}{\text{hypotenuse}}$, $\cos A = \frac{\text{adjacent}}{\text{hypotenuse}}$, $\tan A=\frac{\text{opposite}}{\text{adjacent}}$
• In right - triangle $ABC$ with right angle at $B$, for angle $A$:
• Opposite side to angle $A$ is $BC = 12$
• Adjacent side to angle $A$ is $AB=35$
• Hypotenuse is $AC = 37$

Step2: Calculate $\sin A$

$\sin A=\frac{BC}{AC}=\frac{12}{37}$

Step3: Calculate $\cos A$

$\cos A=\frac{AB}{AC}=\frac{35}{37}$

Step4: Calculate $\tan A$

$\tan A=\frac{BC}{AB}=\frac{12}{35}$

Answer:

$\sin A=\frac{12}{37}$, $\cos A=\frac{35}{37}$, $\tan A=\frac{12}{35}$